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Finding the Fourth Proportional to 2,673.52, 4,009.68 and 1,029.22

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Solution

The fourth proportional to 2,673.52, 4,009.68 and 1,029.22 is: 1,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.52 : 4,009.68 = 1,029.22 : x
  2. Step 2: Convert to fraction form
    2,673.52/4,009.68 = 1,029.22/x
  3. Step 3: Cross multiply
    2,673.52x = 4,009.68 × 1,029.22
  4. Step 4: Simplify right side
    2,673.52x = 4,126,842.85
  5. Step 5: Solve for x
    x = 4,126,842.85/2,673.52
  6. Step 6: Final answer
    x = 1,543.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.